On destabilising quasi-normal modes with a radially concentrated perturbation
In this work we explore some aspects of the spectral instability of back hole quasi-normal modes, using a specific model as an example. The model is that of a small bump perturbation to the effective potential of linear axial gravitational waves on a Schwarzschild background, and our focus is on thr...
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Frontiers Media S.A.
2025-01-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2024.1511757/full |
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| author | Valentin Boyanov |
| author_facet | Valentin Boyanov |
| author_sort | Valentin Boyanov |
| collection | DOAJ |
| description | In this work we explore some aspects of the spectral instability of back hole quasi-normal modes, using a specific model as an example. The model is that of a small bump perturbation to the effective potential of linear axial gravitational waves on a Schwarzschild background, and our focus is on three different aspects of the instability: identifying and distinguishing between the two different types of instabilities studied previously in the literature, quantifying the size of the perturbations applied to the system and testing the validity of the pseudospectral numerical method in providing a convergent result for this measure, and finally, relating the size and other features of the perturbation to the degree of destabilisation of the spectrum. |
| format | Article |
| id | doaj-art-c608e75d98b443e5b368bf81e830ec01 |
| institution | Kabale University |
| issn | 2296-424X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj-art-c608e75d98b443e5b368bf81e830ec012025-01-07T06:47:05ZengFrontiers Media S.A.Frontiers in Physics2296-424X2025-01-011210.3389/fphy.2024.15117571511757On destabilising quasi-normal modes with a radially concentrated perturbationValentin BoyanovIn this work we explore some aspects of the spectral instability of back hole quasi-normal modes, using a specific model as an example. The model is that of a small bump perturbation to the effective potential of linear axial gravitational waves on a Schwarzschild background, and our focus is on three different aspects of the instability: identifying and distinguishing between the two different types of instabilities studied previously in the literature, quantifying the size of the perturbations applied to the system and testing the validity of the pseudospectral numerical method in providing a convergent result for this measure, and finally, relating the size and other features of the perturbation to the degree of destabilisation of the spectrum.https://www.frontiersin.org/articles/10.3389/fphy.2024.1511757/fullblack holequasinormal modespseudospectrumenergy normspectral stability |
| spellingShingle | Valentin Boyanov On destabilising quasi-normal modes with a radially concentrated perturbation Frontiers in Physics black hole quasinormal modes pseudospectrum energy norm spectral stability |
| title | On destabilising quasi-normal modes with a radially concentrated perturbation |
| title_full | On destabilising quasi-normal modes with a radially concentrated perturbation |
| title_fullStr | On destabilising quasi-normal modes with a radially concentrated perturbation |
| title_full_unstemmed | On destabilising quasi-normal modes with a radially concentrated perturbation |
| title_short | On destabilising quasi-normal modes with a radially concentrated perturbation |
| title_sort | on destabilising quasi normal modes with a radially concentrated perturbation |
| topic | black hole quasinormal modes pseudospectrum energy norm spectral stability |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2024.1511757/full |
| work_keys_str_mv | AT valentinboyanov ondestabilisingquasinormalmodeswitharadiallyconcentratedperturbation |